Probabilities by definition
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Due Mar 9, 3:59 AM EDT
A fair coin tossed 3 times. What is the probability of event Results of the first tossing and of the second tossing coincide? Enter proper fraction.
We have 4 outcomes that satisfy our event: HHT, TTT, HHH, TTH. The overall number of outcomes is 23=8. So the probability is 4/8=1/2.
A pair of fair dices rolled. What is the probability of event Sum of points is greater than 10? Enter proper irreducible fraction.
There are 3 outcomes that satisfy the conditon: 5+6, 6+5 and 6+6. Thus we have probaility 3/36=1/12.
A fair coin tossed 10 times. What is the probability of event At least one tail occured?